The inverse demand for tea is given by P = 12 – 0.03Q, where Pis the price per a gram of tea and Qis the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C =0.02q,2, where q1 is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 =0.02q2, where q2 is the number of grams of tea it brings to market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91=数字 数字 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). 92=数字 数字 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. grams of tea and shop 2 will produce grams of tea. The equilibrium market price is £ Shop 1 will produce 7 数字

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.9P
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The inverse demand for tea is given by P = 12 - 0.03Q, where Pis the price per a gram of tea and Qis the total number of grams of
tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.02q12, where q, is the number
of grams of tea it brings to market. Shop 2's cost function is given by C2 0.02q22, where q2 is the number of grams of tea it brings to
market. Given that the two shops compete by setting output (Cournot), answer the following.
%3D
a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33).
91=|数字
数字
92
b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71).
92= 数字
数字
91
c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea.
grams of tea and shop 2 will produce
数字
grams of tea. The equilibrium market price is £
Shop 1 will produce 7
数字
Transcribed Image Text:The inverse demand for tea is given by P = 12 - 0.03Q, where Pis the price per a gram of tea and Qis the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.02q12, where q, is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 0.02q22, where q2 is the number of grams of tea it brings to market. Given that the two shops compete by setting output (Cournot), answer the following. %3D a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91=|数字 数字 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). 92= 数字 数字 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. grams of tea and shop 2 will produce 数字 grams of tea. The equilibrium market price is £ Shop 1 will produce 7 数字
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